Skip to main content

Picopascal to Bar (pPa to bar) Scientific Pressure Converter

Rate this converter 0 of 0 ratings
Instant calculation with 0ms overhead
Popular Converters
Live Conversion • ISO 80000-4:2019 Certified
1 Picopascal = 1 × 10⁻¹⁷ Bar
1 pPa = 1 × 10⁻¹⁷ bar • 1 bar = 1 × 10¹⁷ pPa
Picopascal to Bar: One Picopascal is equal to 1 × 10⁻¹⁷ Bars.
Certified Authority Value
0.00000000
bar
Exact: 1 bar ≡ 1 × 10¹⁷ pPa
pPa
pPa
bar
bar 1 × 10⁻¹⁷
Quick Values:
Conversion Formula
To convert Picopascal to Bar, multiply by 1 × 10⁻¹⁷
pPa × 1 × 10⁻¹⁷ = bar

Calculation: 1 pPa × 1 × 10⁻¹⁷ = 1 × 10⁻¹⁷ bar

Common Picopascal to Bar Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Picopascal (pPa) and Bar (bar).

Tap any row to calculate
Picopascal to Bar: Primary Direct Table (15 Steps)
Picopascal to Bar Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 pPa 1 × 10⁻²⁰ bar 1 × 10⁻²⁰
0.01 pPa 1 × 10⁻¹⁹ bar 1 × 10⁻¹⁹
0.1 pPa 1 × 10⁻¹⁸ bar 1 × 10⁻¹⁸
0.5 pPa 5 × 10⁻¹⁸ bar 5 × 10⁻¹⁸
1 pPa 1 × 10⁻¹⁷ bar 1 × 10⁻¹⁷
2 pPa 2 × 10⁻¹⁷ bar 2 × 10⁻¹⁷
5 pPa 5 × 10⁻¹⁷ bar 5 × 10⁻¹⁷
10 pPa 1 × 10⁻¹⁶ bar 1 × 10⁻¹⁶
20 pPa 2 × 10⁻¹⁶ bar 2 × 10⁻¹⁶
25 pPa 2.5 × 10⁻¹⁶ bar 2.5 × 10⁻¹⁶
50 pPa 5 × 10⁻¹⁶ bar 5 × 10⁻¹⁶
100 pPa 1 × 10⁻¹⁵ bar 1 × 10⁻¹⁵
250 pPa 2.5 × 10⁻¹⁵ bar 2.5 × 10⁻¹⁵
500 pPa 5 × 10⁻¹⁵ bar 5 × 10⁻¹⁵
1000 pPa 1 × 10⁻¹⁴ bar 1 × 10⁻¹⁴
Bar to Picopascal: Reciprocal Summary
Bar to Picopascal Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 bar 1 × 10¹⁷ pPa 1 × 10¹⁷
5 bar 5 × 10¹⁷ pPa 5 × 10¹⁷
10 bar 1 × 10¹⁸ pPa 1 × 10¹⁸
50 bar 5 × 10¹⁸ pPa 5 × 10¹⁸
100 bar 1 × 10¹⁹ pPa 1 × 10¹⁹

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Picopascal (pPa) and Bar (bar):

Picopascal References:

  • Interplanetary space vacuum residual particle kinetic pressure in Solar System 1 pPa

Bar References:

  • Standard atmospheric pressure at sea level (1.01325 bar) 1 bar
  • Commercial espresso machine coffee extraction group head pressure 9 bar
  • Standard scuba diving compressed breathing air cylinder pressure 200 bar
  • Deep ocean floor water pressure at bottom of the Mariana Trench 1086 bar
ISQ Dimension: [M L⁻¹ T⁻²] Coherent SI Unit: pascal (Pa) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Picopascal to Bar

Converting Picopascal (pPa) to Bar (bar) is a core calculation in Pressure and Stress, which measures the perpendicular force exerted by a fluid or contact load per unit surface area. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Picopascal equals 1 × 10⁻¹⁷ Bar, while 1 bar equals 1 × 10¹⁷ pPa.

Direct Factor1 pPa = 1 × 10⁻¹⁷ bar
Inverse Ratio1 bar = 1 × 10¹⁷ pPa
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (pascal (Pa)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 pPa = 1 × 10⁻¹² pascal (Pa)
2. Target SI Bridge (ktarget):1 bar = 100000 pascal (Pa)
Step-by-step substitution for Picopascal → Bar:V(bar) = V(pPa) × ( 1 × 10⁻¹² / 100000 ) = V(pPa) × 1 × 10⁻¹⁷
Mathematical FormulaValue in Bar = Value in Picopascal × 1 × 10⁻¹⁷Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 2.5 Picopascal (pPa) produces 2.5 × 10⁻¹⁷ Bar (bar). In heavy-duty utility and industrial workloads, 10000 pPa equals 1 × 10⁻¹³ bar.

Inverse check: 1 bar = 1 × 10¹⁷ pPa.

Understanding Picopascal and Bar

Picopascal

pPa
SI Submultiple

A Picopascal (pPa) is a decimal submultiple of the SI-derived unit for pressure and stress.

Applications & Practical Context

In practical pressure terms, a interplanetary space vacuum residual particle kinetic pressure in Solar System equals 1 pPa.

Physical Setup

A pressure of 1 pPa corresponds to 1 × 10⁻¹² Pa (exerting a perpendicular force of 1 × 10⁻¹² newtons per square meter).

Conversion to SI Unit: pascal (Pa)
1 pPa = 1 × 10⁻¹² Pa

Bar

bar
Metric Unit

The bar (bar) is a non-SI metric unit of pressure widely used in meteorology, engineering, and diving.

Applications & Practical Context

In practical pressure terms, a standard atmospheric pressure at sea level (1.01325 bar) equals 1 bar, a commercial espresso machine coffee extraction group head pressure equals 9 bar, a standard scuba diving compressed breathing air cylinder pressure equals 200 bar.

Physical Setup

A pressure of 1 bar is defined as exactly 100,000 pascals (100 kPa), approximating standard Earth atmospheric air pressure at sea level (1.01325 bar).

Conversion to SI Unit: pascal (Pa)
1 bar = 100,000 Pa

Domain Metrology & Engineering Applications

Governing Law & Equation

Pascal's Principle of Fluid Pressure (P = F / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using primary deadweight piston gauges, piezoresistive silicon pressure transmitters, and Bourdon tube test gauges.

Primary Industry Sectors

Applied across aerospace hydraulic flight actuators, oil & gas pipeline monitoring, chemical autoclave pressure safety, and industrial compressed air under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Bar
Interplanetary space vacuum residual particle kinetic pressure in Solar System1 pPa1 × 10⁻¹⁷ bar
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Pascal's Principle of Fluid Pressure (P = F / A) under ISO 80000 dimensional vector [M L⁻¹ T⁻²].

Multi-Variable Engineering Bridge Fluid Power & Hydraulic Thrust

Hydraulic Cylinder & Contact Area Force Bridge (Newtons • Kilonewtons • Meganewtons • Pounds-Force)

Calculate total mechanical actuator force and clamp load F = P × A across standard cylinder bore sizes, bridging fluid pressure [M L⁻¹ T⁻²] with mechanical force [M L T⁻²].

F = P × A
Vector: [Pa] × [m²] → [N]
Live Calculated Bridge Equivalent:
1 pPa at 100mm Heavy Excavator Boom Cylinder (0.007854 m²) = 7.854 × 10⁻¹⁵ N
Equals 7.854 × 10⁻¹⁸ kN • 7.85398 × 10⁻²¹ MN • 1.7656 × 10⁻¹⁵ lbf
SI Force
7.854 × 10⁻¹⁵
N
Newtons
Structural / Civil
7.854 × 10⁻¹⁸
kN
Kilonewtons
Rocket / Geotechnical
7.85398 × 10⁻²¹
MN
Meganewtons
US Engineering
1.7656 × 10⁻¹⁵
lbf
Pounds-Force
Metric Force
8.0088 × 10⁻¹⁶
kgf
Kilograms-Force
CGS Physics
7.85 × 10⁻¹⁰
dyn
Dynes
  1. 1. Normalize Input to SI Base Unit (Pa):
    P = 1 pPa × 1 × 10⁻¹² = 1 × 10⁻¹² Pa
  2. 2. Apply Engineering Parameter (A):
    Selected condition: 100mm Heavy Excavator Boom Cylinder (0.007854 m²) at A = 0.007854 m²
  3. 3. Execute Governing Physical Law in SI Units:
    F = P × A = (1 × 10⁻¹² Pa) × (0.007854 m²) = 7.85398 × 10⁻¹⁵ N
  4. 4. Convert to Standard Engineering Units:
    • N: 7.85398 × 10⁻¹⁵ × 1 = 7.854 × 10⁻¹⁵ N (Newtons) • kN: 7.85398 × 10⁻¹⁵ × 0.001 = 7.854 × 10⁻¹⁸ kN (Kilonewtons) • MN: 7.85398 × 10⁻¹⁵ × 1 × 10⁻⁶ = 7.85398 × 10⁻²¹ MN (Meganewtons) • lbf: 7.85398 × 10⁻¹⁵ × 0.2248 = 1.7656 × 10⁻¹⁵ lbf (Pounds-Force) • kgf: 7.85398 × 10⁻¹⁵ × 0.102 = 8.0088 × 10⁻¹⁶ kgf (Kilograms-Force) • dyn: 7.85398 × 10⁻¹⁵ × 100000 = 7.85 × 10⁻¹⁰ dyn (Dynes)
Explore Full Area Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
25mm Pneumatic Cylinder (0.000491 m²) 0.0004909 0.000491 m² 1-inch pneumatic automation tooling
50mm Hydraulic Ram (0.001963 m²) 0.001964 0.001963 m² 2-inch mobile equipment ram
100mm Heavy Excavator Boom Cylinder (0.007854 m²) 0.007854 0.007854 m² 4-inch earthmoving boom cylinder
200mm Industrial Stamping Press (0.031416 m²) 0.03142 0.031416 m² 8-inch manufacturing stamping ram
500mm Hydroelectric Gate Actuator (0.19635 m²) 0.1963 0.19635 m² 20-inch dam gate hydraulic actuator
Embed
Need this Picopascal to Bar calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 1 × 10⁻¹⁷ bars (bar) in 1 picopascal (pPa). To calculate larger amounts manually, simply multiply your total number of picopascals by the conversion multiplier of 1 × 10⁻¹⁷.

The mathematical formula to convert picopascals to bars is: [value] * 1 × 10⁻¹⁷ = bars. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from bars back to picopascals, you must divide your starting value by 1 × 10⁻¹⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the bar input field.

1 Bar is larger than 1 Picopascal. Specifically, 1 Picopascal equals 1 × 10⁻¹⁷ bars, meaning 1 Bar is 1 × 10¹⁷ times larger than 1 Picopascal (a difference of 17.00 orders of magnitude). Expressing measurements in picopascals requires a larger numerical value to represent the equivalent physical magnitude.

A typical interplanetary space vacuum residual particle kinetic pressure in Solar System measures 1 pPa, which corresponds to 1 × 10⁻¹⁷ bar (Bar).

Under standard SI unit dimensional analysis, 1 pPa = 1.00000 × 10⁻¹⁷ bar.

Multiply the picopascal value by 1.00000 × 10⁻¹⁷: V(bar) = V(pPa) × 1.00000 × 10⁻¹⁷.

Multiply the pressure value in bar by 1.00000 × 10¹⁷: V(pPa) = V(bar) × 1.00000 × 10¹⁷.

While engineering fluid pressure in hydraulic pumps operates around 100 bar (10¹⁹ pPa), picopascals evaluate micro-scale forces in specialized cryogenic and particle physics systems.

Physically Coupled Mechanics & Metrology Converters

Explore interconnected physical dimension converters within the Mechanics & Metrology cluster (ISO 80000-3:2019 / ISO 80000-4:2019).

View Hub